A hybrid sinc-Galerkin/finite-difference method for the time-dependent Wigner equation

被引：2
|
作者：
Jiang, Haiyan [1 ]
Lu, Tiao [2 ]
Zhang, Weitong [3 ]
机构：
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
[2] Peking Univ, Sch Math Sci, LMAM, CAPT,HEDPS, Beijing 100871, Peoples R China
[3] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2022年 / 409卷
基金：
中国国家自然科学基金;
关键词：
Wigner equation; Finite difference method; Sinc-Galerkin method; Quantum tunneling; PARITY-DECOMPOSITION; SELF-CONSISTENT; SIMULATION;
D O I：
10.1016/j.cam.2022.114152
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Wigner equation is a remarkable tool to model complex problems of quantum physics in phase space. The main objective of this paper is to propose a new hybrid algorithm for the time-dependent Wigner equation. This scheme is based on sinc-Galerkin and finite difference approximations and is moderately simple but highly efficient. Error estimation, stability, and convergence are also investigated concretely. Numerical experiments validate the theoretical results and present the reliability and efficiency of the proposed algorithm to simulate quantum effects. (C) 2022 Elsevier B.V. All rights reserved.
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